Can a number ever be small enough to be considered zero?

[MCS]

If you play the lottery, you probably won't win. If you play the lottery every day for a trillion years, you almost certainly WILL win.

That being said, I'm not really sure what relevance this idea has to the OP's question.

In answer to the OP: I am not 100% sure what you are asking, but the product of a finite number of positive numbers is positive (and thus not zero). Weird things happen if you start thinking about trying to multiply an "infinite" amount of numbers.